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Finding the Fourth Proportional to 3,078.58, 4,616.78 and 886.72

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Solution

The fourth proportional to 3,078.58, 4,616.78 and 886.72 is: 1,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.58 : 4,616.78 = 886.72 : x
  2. Step 2: Convert to fraction form
    3,078.58/4,616.78 = 886.72/x
  3. Step 3: Cross multiply
    3,078.58x = 4,616.78 × 886.72
  4. Step 4: Simplify right side
    3,078.58x = 4,093,791.16
  5. Step 5: Solve for x
    x = 4,093,791.16/3,078.58
  6. Step 6: Final answer
    x = 1,329.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.